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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define degree sequence.
💡 Hint: Think about what degree refers to in graphs.
Question 2
Easy
What must be true about the degrees in a graphic sequence?
💡 Hint: Consider if negative degrees make sense in graph theory.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What defines a graphic sequence?
- A sequence where all degrees are even.
- A sequence that can form a simple graph.
- A sequence listed in random order.
💡 Hint: Think about the properties of graph representation.
Question 2
True or False: The sum of the degrees in a graphic sequence can be odd.
- True
- False
💡 Hint: Reflect on how edges are connected to vertices.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the sequence (3, 3, 3, 1) is graphic, using systematic reduction.
💡 Hint: Take steps to verify each reduction.
Question 2
Design a sequence of your own that is non-graphic and explain why it fails the graphic tests.
💡 Hint: Check the sum of your proposed sequence.
Challenge and get performance evaluation